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Simplifying -12 + -5 + 6x + -2x = x + 7 Combine like terms: -12 + -5 = -17 -17 + 6x + -2x = x + 7 Combine like terms: 6x + -2x = 4x -17 + 4x = x + 7 Reorder the terms: -17 + 4x = 7 + x Solving -17 + 4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 4x + -1x = 7 + x + -1x Combine like terms: 4x + -1x = 3x -17 + 3x = 7 + x + -1x Combine like terms: x + -1x = 0 -17 + 3x = 7 + 0 -17 + 3x = 7 Add '17' to each side of the equation. -17 + 17 + 3x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 7 + 17 3x = 7 + 17 Combine like terms: 7 + 17 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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